TWO-DIMENSIONAL HYDRODYNAMIC EROSION MODEL APPLIED TO SPUR DYKES

Authors:

Fayaz A. Khan,Humna Hamid,Yasir I. Badrashi,

DOI NO:

https://doi.org/10.26782/jmcms.2021.02.00003

Keywords:

CFD,High Resolution,Shock Capturing,Mobile Beds,

Abstract

With the advances in the field of computing, robust CFD models have evolved in the last two decades. Initially, one and two-dimensional models were used but these days, three-dimensional models are used frequently that produce more accurate results. However, the solution of 3D models is expensive not only in terms of computational costs but is time-consuming. In this work, a two-dimensional CFD model that is based on shallow water equations coupled with an erosion model is presented. The equations are solved using finite volume formulation and high-resolution shock capturing methods. This study is an attempt to cover accuracy issues with 2D models by incorporating high-resolution shock capturing methods as compared to 3D models, the solution of which is based on conventional schemes. The model is initially used to simulate dam-break problems over fixed and mobile beds to assess the model stability and hydraulic performance in terms of simulating the flow and bed morphology. The assessment has shown the model to be stable throughout the simulation and the produced results have shown the hydro-dynamic capability of the model. The model is then applied to simulate flow over an erodible sediment bed in a channel with spur dykes on its flood plain. The simulated results are compared with experimental results and numerical results of a 3D model. The comparison has shown a close agreement both with experimental and numerical 3D model results that show that the model could be applied to study bed morphology confidently.

Refference:

I. A. Canestrelli, M. Dumbser, A. Siviglia, and E. F. Toro, “Well-balanced high-order centered schemes on unstructured meshes for shallow water equations with fixed and mobile bed,” Adv. Water Resour., vol. 33, no. 3, pp. 291–303, 2010.
II. B. van Leer, “Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method,” J. Comput. Phys., vol. 32, no. 1, pp. 101–136, 1979.
III. C. F. Scott and F. A. Khan, “Two-Dimensional Dam Break Hydraulics Over an Erodible Bed,” Annual Conference on Hydraulic Engineering, Dresden, 2010.
IV. C. Juez, J. Murillo, and P. García-Navarro, “A 2D weakly-coupled and efficient numerical model for transient shallow flow and movable bed,” Advances in Water Resources, vol. 71, pp. 93–109, 2014.
V. D. Santillán, L. Cueto-Felgueroso, A. Sordo-Ward, and L. Garrote, “Influence of Erodible Beds on Shallow Water Hydrodynamics during Flood Events,” Water, vol. 12, no. 12, p. 3340, 2020.
VI. E. Elawady, M. Michiue, and O. Hinokidani, “Experimental Study of Flow Behavior Around Submerged Spur-Dike On Rigid Bed,” Proc. Hydraul. Eng., vol. 44, pp. 539–544, 2000.
VII. E. F. Toro, “Shock-capturing methods for free-surface shallow flows,” 2001.
VIII. F. Bahmanpouri, M. Daliri, A. Khoshkonesh, M. Montazeri Namin, and M. Buccino, “Bed compaction effect on dam break flow over erodible bed; experimental and numerical modeling,” J. Hydrol., 2020.
IX. G. Kesserwani, A. Shamkhalchian, and M. J. Zadeh, “Fully Coupled Discontinuous Galerkin Modeling of Dam-Break Flows over Movable Bed with Sediment Transport,” J. Hydraul. Eng., vol. 140, no. 4, 2014.
X. H. Hu, J. Zhang, and T. Li, “Dam-Break Flows: Comparison between Flow-3D, MIKE 3 FM, and Analytical Solutions with Experimental Data,” Appl. Sci., vol. 8, no. 12, Dec. 2018.
XI. H. Nakagawa, H. Zhang, and Y. Muto, “Modeling of sediment transport in alluvial rivers with spur dykes,” in Ninth International Symposium on River Sedimentation, Yichang, China, pp. 18–21, 2004.
XII. J. H. Almedeij and P. Diplas, “Bedload Transport in Gravel-Bed Streams with Unimodal Sediment,” J. Hydraul. Eng., vol. 129, no. 11, pp. 896–904, 2003.
XIII. J. Xia, B. Lin, R. A. Falconer, and G. Wang, “Modelling dam-break flows over mobile beds using a 2D coupled approach,” Adv. Water Resour., vol. 33, no. 2, pp. 171–183, 2010.
XIV. M. Ghodsian and M. Vaghefi, “Experimental study on scour and flow field in a scour hole around a T-shape spur dike in a 90° bend,” Int. J. Sediment Res., vol. 24, no. 2, pp. 145–158, 2009.
XV. M. J. Creed, I.-G. Apostolidou, P. H. Taylor, and A. G. L. Borthwick, “A finite volume shock-capturing solver of the fully coupled shallow water-sediment equations,” Int. J. Numer. Methods Fluids, vol. 84, no. 9, pp. 509–542, 2017.
XVI. M. Vaghefi, S. Solati, and C. Abdi Chooplou, “The effect of upstream T-shaped spur dike on reducing the amount of scouring around downstream bridge pier located at a 180° sharp bend,” Int. J. River Basin Manag., 2020.
XVII. P. Batten, C. Lambert, and D. M. Causon, “Positively conservative high-resolution convection schemes for unstructured elements,” Int. J. Numer. Methods Eng., 1996.
XVIII. R. A. Kuhnle, C. V. Alonso, and F. D. Shields, “Local Scour Associated with Angled Spur Dikes,” J. Hydraul. Eng., vol. 128, no. 12, pp. 1087–1093, 2002.
XIX. S. Zhang and J. G. Duan, “1D finite volume model of unsteady flow over mobile bed,” J. Hydrol., vol. 405, no. 1–2, pp. 57–68, 2011.
XX. Sepehr Mortazavi Farsani, Najaf Hedayat, Nelia sadeghi Khoveigani, : Numerical Simulation of the effect of simple and T-shaped dikes on turbulent flow field and sediment scour/deposition around diversion intakes, J. Mech. Cont.& Math. Sci., Vol.-14, No.-4, July-August (2019) pp 197-215
XXI. T. Uchida and S. Fukuoka, “Quasi-3D two-phase model for dam-break flow over movable bed based on a non-hydrostatic depth-integrated model with a dynamic rough wall law,” Adv. Water Resour., vol. 129, pp. 311–327, 2019.
XXII. Uzair Ali, Syed Shujaat Ali, : SIMULATION OF RIVER HYDRAULIC MODEL FOR FLOOD FORECASTING THROUGH DIMENSIONAL APPROACH, J. Mech. Cont.& Math. Sci., Vol.-15, No.-1, January (2020) pp 275-282
XXIII. W. Wu and S. S. Wang, “One-Dimensional Modeling of Dam-Break Flow over Movable Beds,” J. Hydraul. Eng., vol. 133, no. 1, pp. 48–58, 2007.
XXIV. X. Liu, A. Mohammadian, and J. Á. Infante Sedano, “A numerical model for three-dimensional shallow water flows with sharp gradients over mobile topography,” Comput. Fluids, vol. 154, pp. 1–11, 2017.
XXV. X. Zhang, P. Wang, and C. Yang, “Experimental study on flow turbulence distribution around a spur dike with different structure,” in Procedia Engineering, vol. 28, pp. 772–775, 2012.
XXVI. Y. Jia and S. S. Y. Wang, “Numerical Model for Channel Flow and Morphological Change Studies,” J. Hydraul. Eng., vol. 125, no. 9, pp. 924–933, Sep. 1999.
XXVII. Y. Muto, K. Kitamura, A. Khaleduzzaman, and H. Nakagawa, “Flow and bed topography around impermeable spur dykes.,” Adv. River Eng. JSCE, vol. 9, 2003.
XXVIII. Z. Cao, “Equilibrium near-bed concentration of suspended sediment,” J. Hydraul. Eng., vol. 125, pp. 1270-1278, 1999.
XXIX. Z. Cao, G. Pender, S. Wallis, and P. Carling, “Computational Dam-Break Hydraulics over Erodible Sediment Bed,” J. Hydraul. Eng., vol. 130, no. 7, pp. 689–703, 2004.

View Download